164340414 has 144 divisors (see below), whose sum is σ = 440189568. Its totient is φ = 45804528.

The previous prime is 164340403. The next prime is 164340457. The reversal of 164340414 is 414043461.

164340414 is a `hidden beast` number, since 1 + 643 + 4 + 0 + 4 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1595487 + ... + 1595589.

It is an arithmetic number, because the mean of its divisors is an integer number (3056872).

Almost surely, 2^164340414 is an apocalyptic number.

164340414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220094784).

164340414 is an abundant number, since it is smaller than the sum of its proper divisors (275849154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164340414 is a wasteful number, since it uses less digits than its factorization.

164340414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164340414 is about 12819.5325187777. The cubic root of 164340414 is about 547.7488304098.

Adding to 164340414 its reverse (414043461), we get a palindrome (578383875).

The spelling of 164340414 in words is "one hundred sixty-four million, three hundred forty thousand, four hundred fourteen".